3 \item Goal: description of a method to compute a large class of truly
5 \item The chaotic iterated map inside the generator: built by removing
6 from a $n$-cube an Hamiltonian path, \textit{i.e.}, a balanced Gray code
7 \item Statistical properties: established for $n=4,5,6,7,8$ through
8 NIST and DieHARD batteries
12 \begin{block}{Open Problems}
14 \item Our proposal: remove from the $n$-cube an Hamiltonian path that
15 is a balanced Gray code. \alert{Can we prove that this solution is the one that
16 minimizes the mixing time?}
17 \item Lack of constructive method to built balanced Gray Code
18 with large $n$. \alert{Can we propose a new algorithm?}